1.2: Solving Equations
Solve for x
- (7 - 2x) + 7 = -7
x = -7/2 or -3 1/2
Solve the equation
3(x - 2) = 9x
x = -1
Solve for indicated variable
d = rt ; r
r = d/t
Solve the inequality and graph
-2(3x - 1) > 20
x < -3
Write a compound statement
A quantity x is either less than 10 or greater than 20
x < 10 or x > 20
200 = 16(6t - 3)
t = 31/12
Solve the equation
6(x + 5) = 3x
x = -10
Solve for indicated variable
a = m - n ; n
n = m - a
Solve the inequality and graph
2x + 5 < 3x + 4
x > 1
Write a compound statement
A quantity x is at least 10 and at most 20
10 /< x /< 20
x >/ 10 and x /< 20
Solve for x
1.037x + 0.02x + 25 = 30.285
x = 5
Solve the equation
2c + 3 = 2c + 3
identity
Solve for indicated variable
3m - 9n = 24 ; m
m = 8 + 3n
Solve the inequality
-2x - 5 >/ 3x - 25
x /< 4
Solve the compound inequality
5 < k -2 < 11
7 < k < 13
Solve for k
1/5 (k - 3) = 3/4
k = 27/4
Solve the equation
12b + 9 = 12b + 11
no solution
-3(x + n) = x ; x
x = -3/4n
Solve the inequality
2x + 12 > 2(x + 6)
no solution
Solve the compound inequality
5 - m < 4 or 7m > 35
m > 1
Solve for m
3m/4 - m/12 = 7/8
m = 21/16
Solve the equation
3y = (8 - 12y) / 4 + 2
y = 2/3
Solve for the indicated variable
m = (x + n)/p ; x
x= pm - n
Solve the inequality
3/4x + 3/4 - 1/2x >/ -1
x >/ -7
Solve the compound inequality
3 < 2p - 3 /< 12
3 < p /< 15/2